Exhibit 32.1

CERTIFICATION BY CHIEF EXCECUTIVE OFFICER

PURSUANT TO 18 U.S.C. SECTION 1350

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the Report on Form 10-K of J.B. Hunt Transport Services, Inc. (the “Company”) for the calendar year ended December 31, 2004 as filed with the Securities and Exchange Commission on the date hereof (the “Report’), I, Kirk Thompson, President and Chief Executive Officer of the Company, certify pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that to the best of my knowledge:

(i)The Report fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934, as amended;  and

(ii)The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

Date: March 11, 2005	/s/ Kirk Thompson
	Kirk Thompson
	President and Chief Executive Officer

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